ATMs are nowadays increasingly used by customers, especially since banks have reduced their opening hours. In the
Question:
ATMs are nowadays increasingly used by customers, especially since banks have reduced their opening hours. In the early evening in the summer, customers come to the ATM of one of the Ottawa branches at the average rate of one customer every two minutes according to Poisson's law. Transactions take an average of 90 seconds. This time is distributed according to an exponential law. Determine:
a) The average time customers spend in the system.
b) The average customer waiting time in front of the ATM
c) The probability that a customer does not have to wait when he comes to the ATM
Automated teller machines (ATMs) are increasingly used by customers these days, especially since
banks have reduced their opening hours. In the early evening of the summer, customers
the ATM at one of Ottawa's branches at an average rate of one customer every two minutes
every two minutes according to Poisson's law. Transactions last an average of 90 seconds.
This time is distributed according to an exponential law.
Determine :
a) The average time customers spend in the system.
b) The average waiting time for customers at the ATM.
c) The probability that a customer will not have to wait when arriving at the ATM.
Management Accounting Information for Decision-Making and Strategy Execution
ISBN: 978-0137024971
6th Edition
Authors: Anthony A. Atkinson, Robert S. Kaplan, Ella Mae Matsumura, S. Mark Young